JEE Questions for Physics Kinetic Theory Of Gases Quiz 5 - MCQExams.com

The root mean square speed of the molecules of a gas is
  • Independent of its pressure but directly proportional to its Kelvin temperature
  • Directly proportional to the square roots of both its pressure and its Kelvin temperature
  • Independent of its pressure but directly proportional to the square root of its Kelvin temperature
  • Directly proportional to both its pressure and its Kelvin temperature
At temperature T, the r.m.s. speed of helium molecules is the same as r.m.s. speed of hydrogen molecules at normal temperature and pressure. The value of T is
  • 273°C
  • 546°C
  • 0°C
  • 136.5°C
At a given temperature the r.m.s velocity of molecules of the gas is
  • Same
  • Proportional to molecular weight
  • Inversely proportional to molecular weight
  • Inversely proportional to square root of molecular weight
At a given temperature the ratio of r.m.s. velocities of hydrogen molecule and helium atom will be
  • √2 :1
  • 1 : √2
  • 1 : 2
  • 2 : 1
If the oxygen (O2) has root mean square velocity of C ms–1 then root mean square velocity of the hydrogen (H2) will be

  • Physics-Kinetic Theory of Gases-75491.png
  • 2)
    Physics-Kinetic Theory of Gases-75492.png

  • Physics-Kinetic Theory of Gases-75493.png

  • Physics-Kinetic Theory of Gases-75494.png
The temperature of an ideal gas is reduced from 927°C to 27°C. The r.m.s. velocity of the molecules becomes
  • Double the initial value
  • Half of the initial value
  • Four times the initial value
  • Ten times the initial value
The r.m.s. speed of the molecules of a gas in a vessel is 400 ms–1. If half of the gas leaks out, at constant temperature, the r.m.s. speed of the remaining molecules will be
  • 800 ms–1
  • 40012 ms–1
  • 400 ms–1
  • 200 ms–1
Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will
  • Increase
  • Decrease
  • Remain same
  • Decrease for some, while increase for others
The gas having average speed four times as that of SO2 (molecular massis
  • He (molecular mass 4)
  • O2 (molecular mass 32)
  • H2 (molecular mass 2)
  • CH4 (molecular mass 16)
The root mean square speed of hydrogen molecules at 300 K is 1930 m/s. Then, the root mean square speed of oxygen molecules at 900 K will be

  • Physics-Kinetic Theory of Gases-75499.png
  • 836 m/s
  • 643 m/s

  • Physics-Kinetic Theory of Gases-75500.png
The temperature of an ideal gas is increased from 27°C to 127°C, then percentage increase in Vrms is
  • 37%
  • 11%
  • 33%
  • 15.5%
If the temperature of an ideal gas increases three times, then its rms velocity will become
  • √3 times
  • 3 times
  • One third
  • Remains same
Mean free path of a gas molecule is
  • Inversely proportion to number of molecules per unit volume
  • Inversely proportional to diameter of the molecule
  • Directly proportional to the square root of the absolute temperatures
  • Directly proportional to the molecular mass
  • Independent of temperature

Physics-Kinetic Theory of Gases-75507.png
  • 0.32
  • 0.45
  • 2.24
  • 3.16
A diatomic molecule has how many degrees of freedom
  • 3
  • 4
  • 5
  • 6
A cylinder rolls without slipping down an inclined plane, the number of degrees of freedom it has, is
  • 2
  • 3
  • 5
  • 1
The degrees of freedom of a triatomic gas is
  • 2
  • 4
  • 6
  • 8
For an ideal gas of diatomic molecules

  • Physics-Kinetic Theory of Gases-75510.png
  • 2)
    Physics-Kinetic Theory of Gases-75511.png

  • Physics-Kinetic Theory of Gases-75512.png

  • Physics-Kinetic Theory of Gases-75513.png
At constant volume the specific heat of a gas is 3R/2, then the value of ‘γ’will be

  • Physics-Kinetic Theory of Gases-75515.png
  • 2)
    Physics-Kinetic Theory of Gases-75516.png

  • Physics-Kinetic Theory of Gases-75517.png
  • None of these
For a gas molecule with 6 degrees of freedom the law of equipartition of energy gives the following relation between the molar specific heat (Cv and gas constant (R)

  • Physics-Kinetic Theory of Gases-75524.png
  • 2)
    Physics-Kinetic Theory of Gases-75525.png

  • Physics-Kinetic Theory of Gases-75526.png

  • Physics-Kinetic Theory of Gases-75527.png
If Cp and Cv denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then
  • Cp – Cv =R/28
  • Cp – Cv = R/14
  • Cp – Cv = R
  • Cp – Cv = 28R
The following sets of values for Cv and Cp of a gas has been reported by different students. The units are cal/g–mole–K. Which of these sets is most reliable?
  • Cv = 3, Cp = 5
  • Cv = 4, Cp = 6
  • Cv = 3, Cp = 2
  • Cv = 3, Cp = 4.2
The specific heat at constant volume for the monoatomic argon is 0.075 kcal/kg–K, whereas its gram molecular specific heat Cv = 2.98 cal/mole/K. The mass of the argon atom is
(Avogadro\'s number = 6.02 × 10–23 molecules/mole)
  • 6.60 × 10–23 g
  • 3.30 × 10–23 g
  • 2.20 × 10–23 g
  • 13.20 × 10–23 g
Supposing the distance between the atoms of a diatomic gas to be constant, its specific heat at constant volume per mole (gram mole) is

  • Physics-Kinetic Theory of Gases-75531.png
  • 2)
    Physics-Kinetic Theory of Gases-75532.png
  • R

  • Physics-Kinetic Theory of Gases-75533.png
For a certain gas, the ratio of specific heats is given to be γ = 1.5. For this gas

  • Physics-Kinetic Theory of Gases-75535.png
  • 2)
    Physics-Kinetic Theory of Gases-75536.png

  • Physics-Kinetic Theory of Gases-75537.png

  • Physics-Kinetic Theory of Gases-75538.png
The specific heats at constant pressure is greater than that of the same gas at constant volume because
  • At constant pressure work is done in expanding the gas
  • At constant volume work is done in expanding the gas
  • The molecular attraction increases more at constant pressure
  • The molecular vibration increases more at constant pressure
The specific heat of a gas
  • Has only two values CP and CV
  • Has a unique value at a given temperature
  • Can have any value between 0 and ∞
  • Depends upon the mass of the gas
For a gas if γ = 1.4, then atomicity, CP and CV of the gas are respectively

  • Physics-Kinetic Theory of Gases-75541.png
  • 2)
    Physics-Kinetic Theory of Gases-75542.png

  • Physics-Kinetic Theory of Gases-75543.png

  • Physics-Kinetic Theory of Gases-75544.png
In gases of diatomic molecules the ratio of the two specific heats of gases CP/CV is
  • 1.66
  • 1.40
  • 1.33
  • 1.00
For hydrogen gas CP – CV = a and for oxygen gas CP – CV = b. So the relation between a and b is given by
  • a =16b
  • b =16a
  • a = 4b
  • a = b
For a gas the difference between the two specific heats is 4150 J/kg K. What is the specific heats at constant volume of gas if the ratio of specific heat is 1 : 4?
  • 8475 J/kg K
  • 5186 J/kg K
  • 1660 J/kg K
  • 10375 J/kg K
The quantity of heat required to raise one mole through one degree kelvin for a monoatomic gas at constant volume is

  • Physics-Kinetic Theory of Gases-75549.png
  • 2)
    Physics-Kinetic Theory of Gases-75550.png

  • Physics-Kinetic Theory of Gases-75551.png
  • 4R
For the specific heat of 1 mole of an ideal gas at constant pressure (CP) and at constant volume (CV) which is correct

  • Physics-Kinetic Theory of Gases-75553.png
  • 2)
    Physics-Kinetic Theory of Gases-75554.png
  • H2 has very small values of CP and CV
  • CP – CV = 1.99 cal/mole–K for H2
Two mole of oxygen is mixed with eight mole of helium. The effective specific heat of the mixture at constant volume is
  • 1.3R
  • 1.4R
  • 1.7R
  • 1.9R
A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures below 100 K would indicate that the value of γ (ratio of specific heats) for this mixture is
  • 3/2
  • 4/3
  • 5/3
  • 7/5
One mole of monoatomic gas and three moles of diatomic gas are put together in a container. The molar specific heat (in JK–1mol–1) at constant volume is (R = 8.3 J K–1 Mol–1)
  • 18.7
  • 18.9
  • 19.2
  • None of these
The temperature of argon, kept in a vessel, is raised by 1°C at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are
  • 60% and 40%
  • 40% and 60%
  • 50% and 50%
  • 100% and 0%
On giving equal amount of heat of constant volume to 1 mol of a monoatomic and a diatomic gas the rise in temperature (∆T) is more for
  • Monoatomic
  • Diatomic
  • Same for both
  • Cannot be predicted
The kinetic energy, due to translational motion, of most of the molecules of an ideal gas at absolute temperature T is
  • kT
  • k/T
  • T/k
  • 1/kT
310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is
  • 384 J
  • 144 J
  • 276 J
  • 452 J
5 moles of oxygen is heated at constant volume from 10°C to 20°C. The change in the internal energy of the gas is (the gram molecular specific heat of oxygen at constant pressure, Cp = 8 cal/mole °C and R = 8.3 J/mole °C)
  • 200 cal
  • 300 cal
  • 100 cal
  • None of these

Physics-Kinetic Theory of Gases-75563.png
  • 3/4
  • 3/5
  • 2/7
  • 5/7

Physics-Kinetic Theory of Gases-75565.png
  • 1.4
  • 1.54
  • 1.59
  • 1.62

Physics-Kinetic Theory of Gases-75567.png
  • Oxygen becomes triatomic
  • Oxygen does not behaves as an ideal gas
  • Oxygen molecules rotate more vigorously
  • Oxygen molecules start vibrating
The heat capacity per mole of water is (R is universal gas constant)
  • 9R
  • 2)
    Physics-Kinetic Theory of Gases-75568.png
  • 6R
  • 5R
  • 3R
Gas at a pressure P0 in contained is a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure P will be equal to
  • P0
  • 4P0
  • 2P0
  • P0/2
A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of molecules is made 2n?
  • Pressure will decrease
  • Pressure will remain unchanged
  • Pressure will doubled
  • Pressure will become three times
The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 m/sec. The pressure on the hydrogen gas is (Density of hydrogen gas is 8.99 × 10–2 kg/m3, 1 atmosphere = 1.01 × 105 N/m2)
  • 1.0 atm
  • 1.5 atm
  • 2.0 atm
  • 3.0 atm
Consider a gas with density ρ and ¯c as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is

  • Physics-Kinetic Theory of Gases-75575.png
  • 2)
    Physics-Kinetic Theory of Gases-75576.png

  • Physics-Kinetic Theory of Gases-75577.png

  • Physics-Kinetic Theory of Gases-75578.png
One kg of a diatomic gas is at a pressure of 8 × 104 N/m2. The density of the gas is 4 kg/m3. What is the energy of the gas due to its thermal motion?
  • 3 × 104 J
  • 5 × 104 J
  • 6 × 104 J
  • 7 × 104 J
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Physics Quiz Questions and Answers